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Finding the Third Proportional to 228,656 and 492,448

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Solution

The third proportional to 228,656 and 492,448 is: 1,060,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,656 : 492,448 = 492,448 : x
  2. Step 2: Convert to fraction form
    228,656/492,448 = 492,448/x
  3. Step 3: Cross multiply
    228,656x = 492,448 × 492,448
  4. Step 4: Simplify right side
    228,656x = 242,505,032,704
  5. Step 5: Solve for x
    x = 242,505,032,704/228,656
  6. Step 6: Final answer
    x = 1,060,567.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.